A triangle has one angle that measures 32 degrees, one angle that measures 50 degrees, and one angle that measures 98 degrees. W
2 answers:
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Answer:
c) Is not a property (hence (d) is not either)
Step-by-step explanation:
Remember that the chi square distribution with k degrees of freedom has this formula
Where N₁ , N₂m .... are independent random variables with standard normal distribution. Since it is a sum of squares, then the chi square distribution cant take negative values, thus (c) is not true as property. Therefore, (d) cant be true either.
Since the chi square is a sum of squares of a symmetrical random variable, it is skewed to the right (values with big absolute value, either positive or negative, will represent a big weight for the graph that is not compensated with values near 0). This shows that (a) is true
The more degrees of freedom the chi square has, the less skewed to the right it is, up to the point of being almost symmetrical for high values of k. In fact, the Central Limit Theorem states that a chi sqare with n degrees of freedom, with n big, will have a distribution approximate to a Normal distribution, therefore, it is not very skewed for high values of n. As a conclusion, the shape of the distribution changes when the degrees of freedom increase, because the distribution is more symmetrical the higher the degrees of freedom are. Thus, (b) is true.
Answer:
All are correct.
Step-by-step explanation:
Let x be the number of movies and y be the number of newly released video games.
Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 each.
Larry must purchase at least nine items.
Check both inequalities of all given ordered pairs.
For (5,6),
Point (5,6) satisfy both inequalities.
For (10,4),
Point (10,4) satisfy both inequalities.
For (20,0),
Point (20,0) satisfy both inequalities.
For (15,2),
Point (15,2) satisfy both inequalities.
Therefore, all combination of movies and newly released video games Larry could purchase using his gift card.
